Year 11 Solving Linear Equations Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 11 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Linear EquationsYear 11 Solving Linear Equations Worksheet — Level 2 — Practice Set 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.9x − 10 = 89
Answer: x = 11
- Add 10 to both sides: 9x = 99
- Divide both sides by 9: x = 11
2.8x − 13 = −5
Answer: x = 1
- Add 13 to both sides: 8x = 8
- Divide both sides by 8: x = 1
3.9x − 4 = −67
Answer: x = −7
- Add 4 to both sides: 9x = −63
- Divide both sides by 9: x = −7
4.5x + 7 = 17
Answer: x = 2
- Subtract 7 from both sides: 5x = 10
- Divide both sides by 5: x = 2
5.4x − 12 = 0
Answer: x = 3
- Add 12 to both sides: 4x = 12
- Divide both sides by 4: x = 3
6.8x − 4 = 12
Answer: x = 2
- Add 4 to both sides: 8x = 16
- Divide both sides by 8: x = 2
7.8x − 4 = −44
Answer: x = −5
- Add 4 to both sides: 8x = −40
- Divide both sides by 8: x = −5
8.4x + 12 = 8
Answer: x = −1
- Subtract 12 from both sides: 4x = −4
- Divide both sides by 4: x = −1
9.7x − 14 = 21
Answer: x = 5
- Add 14 to both sides: 7x = 35
- Divide both sides by 7: x = 5
10.6x − 8 = 64
Answer: x = 12
- Add 8 to both sides: 6x = 72
- Divide both sides by 6: x = 12
11.7x + 13 = −29
Answer: x = −6
- Subtract 13 from both sides: 7x = −42
- Divide both sides by 7: x = −6
12.4x − 14 = 22
Answer: x = 9
- Add 14 to both sides: 4x = 36
- Divide both sides by 4: x = 9
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.